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Finding the Third Proportional to 12,841,429.50 and 26,745,747

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Solution

The third proportional to 12,841,429.50 and 26,745,747 is: 55,705,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841,429.50 : 26,745,747 = 26,745,747 : x
  2. Step 2: Convert to fraction form
    12,841,429.50/26,745,747 = 26,745,747/x
  3. Step 3: Cross multiply
    12,841,429.50x = 26,745,747 × 26,745,747
  4. Step 4: Simplify right side
    12,841,429.50x = 715,334,982,588,009
  5. Step 5: Solve for x
    x = 715,334,982,588,009/12,841,429.50
  6. Step 6: Final answer
    x = 55,705,245.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.